If Nazareth didn exist in Jesus time, is that enough to demonstrate that he didn exist?
Other sources I’ve read suggest that either Nazareth has not yet been identified or that Nazarene/Nazareth was more of a title like teacher. Regardless, the questionable existence of Nazareth is rather along the lines of Jesus’ crucifixion not being recorded. The Romans were very interested in crucifixions and tended to record the people crucified (a side note, they thought the nails used were good luck, so we have only found one foot bone with a nail through it, the rest were taken for charms). While the lack of documenting Jesus as being crucified is not compelling, it is yet another piece of the puzzle to be considered. The lack of contemporary documentation and the delay in writing the Gospels are more compelling and raise serious questions.